A. Fiori

activity

20152026

most citedStrengthening the Baillie-PSW primality test

11 citations · 34 across the 24 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022

Sharper bounds for the error term in the Prime Number Theorem

Andrew Fiori, Habiba Kadiri, Joshua Swidinsky

We provide very effective methods to convert both asymptotic and explicit numeric bounds on the prime counting function $ψ (x)$ to bounds of the same type on both $θ (x)$ and $π (x)$ .…

math.NT2022

Families of $ϕ$ -congruence subgroups of the modular group

Angelica Babei, Andrew Fiori, Cameron Franc

We introduce and study families of finite index subgroups of the modular group that generalize the congruence subgroups. Such groups, termed $ϕ$ -congruence subgroups, are obtained…

math.NT2022

Sharper bounds for the Chebyshev function $ψ (x)$

Andrew Fiori, Habiba Kadiri, Joshua Swidinsky

We improve the unconditional explicit bounds for the error term in the prime counting function $ψ (x)$ . In particular, we prove that, for all $x > 2$ , we have \[ \left| ψ(x)-x \right|…

Sharper bounds for the error term in the Prime Number Theorem

Families of ϕ-congruence subgroups of the modular group

Sharper bounds for the Chebyshev function ψ(x)

Families of $ϕ$ -congruence subgroups of the modular group

Sharper bounds for the Chebyshev function $ψ (x)$